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arxiv: 1110.4717 · v1 · pith:A6MUCK4Mnew · submitted 2011-10-21 · 🧮 math.NT

On the 4-norm of an automorphic form

classification 🧮 math.NT
keywords automorphicbasisboundboundedcuspformformslevel
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We prove the optimal upper bound sum || f ||_4^4 << q^{eps} where f runs over an orthonormal basis of Maass cusp forms of prime level q and bounded spectral parameter.

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